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Finding the Fourth Proportional to 8,006.64, 11,049.12 and 4,650.16

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Solution

The fourth proportional to 8,006.64, 11,049.12 and 4,650.16 is: 6,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.64 : 11,049.12 = 4,650.16 : x
  2. Step 2: Convert to fraction form
    8,006.64/11,049.12 = 4,650.16/x
  3. Step 3: Cross multiply
    8,006.64x = 11,049.12 × 4,650.16
  4. Step 4: Simplify right side
    8,006.64x = 51,380,175.86
  5. Step 5: Solve for x
    x = 51,380,175.86/8,006.64
  6. Step 6: Final answer
    x = 6,417.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.